Wednesday, March 19, 2008

Today March 18/2008 in pre cal 20s we learned how to do factoring.Factoring:We now begin a discussion of the algebraic operation called factoring. Factoring an expression is to rewrite the expression entirely as a polynomial product.Factoring Over the Integer:A polynomial is considered completely factored when there are no more variable factors can be removed. No more integer factor, other than 1 or -1 can be removed. The steps for this process is 1. find the GCF (greatest common factor). 2. What is the GCF of the coefficients (exponents)? 3. What is the GCF of the variables (letters)? 4. Check: Multiply and see if you get the same expression that you started with.Factoring by Grouping?Some polynomials do not have a common factor in all their terms. These polynomials can sometimes be factored by grouping terms that do have a common factor.The assignments we had assigned to us today are: page 120 #11-22 and page 120 #30-36

Wednesday, March 12, 2008

Today in class we learnt how to multiply monomials and polynomials. Basically all you have to do is multiply the monomial outside of the brackets by the polynomial inside the brackets. Ex: Expand 3a(4a-3b) =12a²-9ab

We also learnt how to simplify these expressions. To simplify an expression you, first, expand the expression like we have already done and then, secondly, collect like terms. Ex: Expand and Simplify 4x(2x²+ 5x -3) –(2x²-7) =8x³+20x²-12x-2x²+7 =8x³+18x²-12x+7

The final thing that we learnt to do today was multiplying binomials. When multiplying binomials you use the F.O.I.L. method. The F.O.I.L. method stands for multiplying the First two terms, then multiplying the Outside two terms, then multiplying the Inside two terms, and, finally, multiplying the Last two terms. Ex: Find the product of the binomials (x+6)(x+8) =x²+8x+6x +48 =x²+14x+48 The assignment for today was: pg.107, questions 1-29 odd and pg.108, questions 32-43 and 45-67